lean4-htt/library/Init/Data/Nat/Bitwise.lean
Leonardo de Moura a2abbdbf9a chore: fix imports using script
This is just a draft.
```
for f in `find . -name '*.lean'`; do echo $f; gsed "/^import/s/\b\(.\)/\u\1/g" $f > tmp; gsed "/^Import/s/Import/import/g" tmp > $f; done
```
2019-10-04 14:34:58 -07:00

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752 B
Text

/-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Data.Nat.Basic
import Init.Data.Nat.Div
import Init.Coe
namespace Nat
partial def bitwise (f : Bool → Bool → Bool) : Nat → Nat → Nat | n, m =>
if n = 0 then (if f false true then m else 0)
else if m = 0 then (if f true false then n else 0)
else
let n' := n / 2;
let m' := m / 2;
let b₁ := n % 2 = 1;
let b₂ := m % 2 = 1;
let r := bitwise n' m';
if f b₁ b₂ then bit1 r else bit0 r
@[extern "lean_nat_land"]
def land : Nat → Nat → Nat := bitwise and
@[extern "lean_nat_lor"]
def lor : Nat → Nat → Nat := bitwise or
end Nat